Respuesta :

Answer:

The correct answer is the third option (x, y) => (2x - 10, 2y)

Explanation:

The points that form the figure ABC are:

A = (2, 7)

B = (1, 2)

C = (3, 4)

If we apply the transformation: (x, y) => (2x - 10, 2y)

[tex]A=(2,7)\rightarrow A^{\prime}=(2\cdot2-10,2\cdot7)=(-6,14)[/tex][tex]B=(1,2)\rightarrow B^{\prime}=(2\cdot1-10,2\cdot2)=(-8,4)[/tex][tex]C=(3,4)\rightarrow C^{\prime}=(2\cdot3-10,2\cdot4)=(-4,8)[/tex]

Which coincides with the points that form the triangle A'B'C'.

Thus, the correct option is the third one

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